根号3 cosx+sinx=-6/5,则sin(π/3-x)=

根号3cosx+sinx=-6/5
2(sinx/2+根号3cosx/2)=-6/5
sinx/2+根号3cosx/2=-3/5
sinx*cosπ/3+cosx*sin(π/3)=-3/5
sin(x-π/3)=-3/5
所以
sin(π/3-x)=-3/5